101331013033032 has 64 divisors (see below), whose sum is σ = 262066858488000. Its totient is φ = 32611795501824.

The previous prime is 101331013032937. The next prime is 101331013033049. The reversal of 101331013033032 is 230330310133101.

It is a super-2 number, since 2×101331013033032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101331013032993 and 101331013033011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47352318 + ... + 49445970.

It is an arithmetic number, because the mean of its divisors is an integer number (4094794663875).

Almost surely, 2^{101331013033032} is an apocalyptic number.

101331013033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331013033032 is an abundant number, since it is smaller than the sum of its proper divisors (160735845454968).

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

101331013033032 is a wasteful number, since it uses less digits than its factorization.

101331013033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163230 (or 2163226 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 101331013033032 its reverse (230330310133101), we get a palindrome (331661323166133).

The spelling of 101331013033032 in words is "one hundred one trillion, three hundred thirty-one billion, thirteen million, thirty-three thousand, thirty-two".