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131321020121123 = 7617322382123011
BaseRepresentation
bin11101110110111110001110…
…110000011000000000100011
3122012222011111200102112100112
4131312332032300120000203
5114203030422122333443
61143144013243441535
736442426204363130
oct3566761660300043
9565864450375315
10131321020121123
113892aa28365548
121288aa87b262ab
1358376994baa01
14245dd852d7587
15102ae63a92b18
hex776f8ec18023

131321020121123 has 64 divisors (see below), whose sum is σ = 155520483385344. Its totient is φ = 108572151168000.

The previous prime is 131321020121113. The next prime is 131321020121171. The reversal of 131321020121123 is 321121020123131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131321020121123 - 210 = 131321020120099 is a prime.

It is a super-2 number, since 2×1313210201211232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131321020121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5706868688 + ... + 5706891698.

It is an arithmetic number, because the mean of its divisors is an integer number (2430007552896).

Almost surely, 2131321020121123 is an apocalyptic number.

131321020121123 is a deficient number, since it is larger than the sum of its proper divisors (24199463264221).

131321020121123 is a wasteful number, since it uses less digits than its factorization.

131321020121123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131321020121123 its reverse (321121020123131), we get a palindrome (452442040244254).

The spelling of 131321020121123 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 7 61 73 223 427 511 821 1561 4453 5747 13603 16279 23011 31171 50081 59933 95221 113953 161077 183083 350567 419531 993019 1281581 1403671 1679803 3655913 5131453 6951133 9825697 11168063 11758621 13365059 18892031 25591391 35920171 78176441 93555413 102467983 132244217 313018633 374596069 717275881 815268599 1152413891 1379118263 2191130431 2622172483 4212922913 5706880193 8066897237 9653827841 22850360209 29490460391 84126214043 159952521463 256988297693 307543372649 588883498301 1798918083851 2152803608543 18760145731589 131321020121123