101310133122 has 48 divisors (see below), whose sum is σ = 245932232832. Its totient is φ = 29870307360.

The previous prime is 101310133087. The next prime is 101310133123. The reversal of 101310133122 is 221331013101.

101310133122 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 1 + 331 + 22 = 666.

It is a super-2 number, since 2×101310133122² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101310133095 and 101310133104.

It is not an unprimeable number, because it can be changed into a prime (101310133123) 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, 6907098 + ... + 6921749.

It is an arithmetic number, because the mean of its divisors is an integer number (5123588184).

Almost surely, 2^101310133122 is an apocalyptic number.

101310133122 is an abundant number, since it is smaller than the sum of its proper divisors (144622099710).

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

101310133122 is a wasteful number, since it uses less digits than its factorization.

101310133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13828903 (or 13828900 counting only the distinct ones).

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

Adding to 101310133122 its reverse (221331013101), we get a palindrome (322641146223).

It can be divided in two parts, 101310 and 133122, that added together give a palindrome (234432).

The spelling of 101310133122 in words is "one hundred one billion, three hundred ten million, one hundred thirty-three thousand, one hundred twenty-two".