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131303021023031 = 1113270630995709
BaseRepresentation
bin11101110110101101011101…
…111011010000111100110111
3122012220110001021221121111212
4131312231131323100330313
5114202232041340214111
61143131435232352035
736441221156515364
oct3566553573207467
9565813037847455
10131303021023031
1138923331339770
12128874a40a561b
135835a8b514b00
14245d158a6346b
15102a75d81698b
hex776b5ded0f37

131303021023031 has 12 divisors (see below), whose sum is σ = 155105666579160. Its totient is φ = 110184353304480.

The previous prime is 131303021023001. The next prime is 131303021023043. The reversal of 131303021023031 is 130320120303131.

It is a de Polignac number, because none of the positive numbers 2k-131303021023031 is a prime.

It is a super-2 number, since 2×1313030210230312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131303021022988 and 131303021023006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303021023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35315495996 + ... + 35315499713.

It is an arithmetic number, because the mean of its divisors is an integer number (12925472214930).

Almost surely, 2131303021023031 is an apocalyptic number.

131303021023031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131303021023031 is a deficient number, since it is larger than the sum of its proper divisors (23802645556129).

131303021023031 is a wasteful number, since it uses less digits than its factorization.

131303021023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70630995746 (or 70630995733 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131303021023031 its reverse (130320120303131), we get a palindrome (261623141326162).

The spelling of 131303021023031 in words is "one hundred thirty-one trillion, three hundred three billion, twenty-one million, twenty-three thousand, thirty-one".

Divisors: 1 11 13 143 169 1859 70630995709 776940952799 918202944217 10100232386387 11936638274821 131303021023031