101313120132 has 144 divisors (see below), whose sum is σ = 303694285440. Its totient is φ = 27873662976.

The previous prime is 101313120113. The next prime is 101313120133. The reversal of 101313120132 is 231021313101.

101313120132 is a `hidden beast` number, since 101 + 313 + 120 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101313120133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848419 + ... + 960437.

Almost surely, 2^101313120132 is an apocalyptic number.

101313120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151847142720).

101313120132 is an abundant number, since it is smaller than the sum of its proper divisors (202381165308).

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

101313120132 is a wasteful number, since it uses less digits than its factorization.

101313120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112170 (or 112165 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101313120132 its reverse (231021313101), we get a palindrome (332334433233).

It can be divided in two parts, 101313 and 120132, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 101313120132 in words is "one hundred one billion, three hundred thirteen million, one hundred twenty thousand, one hundred thirty-two".