101131322312232 has 96 divisors (see below), whose sum is σ = 291962511984000. Its totient is φ = 31531951226880.

The previous prime is 101131322312183. The next prime is 101131322312233. The reversal of 101131322312232 is 232213223131101.

101131322312232 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 1 + 322 + 312 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101131322312196 and 101131322312205.

It is not an unprimeable number, because it can be changed into a prime (101131322312233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467780569 + ... + 467996712.

It is an arithmetic number, because the mean of its divisors is an integer number (3041276166500).

Almost surely, 2^{101131322312232} is an apocalyptic number.

101131322312232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101131322312232 is an abundant number, since it is smaller than the sum of its proper divisors (190831189671768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101131322312232 is a wasteful number, since it uses less digits than its factorization.

101131322312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935777391 (or 935777384 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 101131322312232 its reverse (232213223131101), we get a palindrome (333344545443333).

The spelling of 101131322312232 in words is "one hundred one trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred thirty-two".