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131331121122021 = 31012859115159877
BaseRepresentation
bin11101110111000111101000…
…110100101000101011100101
3122020000010120122020112122220
4131313013220310220223211
5114203212114001401041
61143152403435142553
736443234416436262
oct3567075064505345
9566003518215586
10131331121122021
1138934241094a77
1212890a268a4a59
1358386190ac412
142460662a2c269
15102b355751d66
hex7771e8d28ae5

131331121122021 has 16 divisors (see below), whose sum is σ = 176848102564608. Its totient is φ = 86684170968000.

The previous prime is 131331121121969. The next prime is 131331121122053. The reversal of 131331121122021 is 120221121133131.

It is not a de Polignac number, because 131331121122021 - 223 = 131331112733413 is a prime.

It is a super-2 number, since 2×1313311211220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131331121121982 and 131331121122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331121122821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083135 + ... + 16243011.

It is an arithmetic number, because the mean of its divisors is an integer number (11053006410288).

Almost surely, 2131331121122021 is an apocalyptic number.

It is an amenable number.

131331121122021 is a deficient number, since it is larger than the sum of its proper divisors (45516981442587).

131331121122021 is a wasteful number, since it uses less digits than its factorization.

131331121122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15188572.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131331121122021 its reverse (120221121133131), we get a palindrome (251552242255152).

The spelling of 131331121122021 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 101 303 28591 85773 2887691 8663073 15159877 45479631 1531147577 4593442731 433436043307 1300308129921 43777040374007 131331121122021