100311133122 has 48 divisors (see below), whose sum is σ = 232919893440. Its totient is φ = 31118842656.

The previous prime is 100311133073. The next prime is 100311133129. The reversal of 100311133122 is 221331113001.

100311133122 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 1 + 331 + 22 = 666.

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 = 100311133095 and 100311133104.

It is not an unprimeable number, because it can be changed into a prime (100311133129) 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, 3258972 + ... + 3289607.

It is an arithmetic number, because the mean of its divisors is an integer number (4852497780).

Almost surely, 2^100311133122 is an apocalyptic number.

100311133122 is an abundant number, since it is smaller than the sum of its proper divisors (132608760318).

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

100311133122 is a wasteful number, since it uses less digits than its factorization.

100311133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548647 (or 6548644 counting only the distinct ones).

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

Adding to 100311133122 its reverse (221331113001), we get a palindrome (321642246123).

The spelling of 100311133122 in words is "one hundred billion, three hundred eleven million, one hundred thirty-three thousand, one hundred twenty-two".