122133131313100 has 72 divisors (see below), whose sum is σ = 265436021819808. Its totient is φ = 48778234636800.

The previous prime is 122133131313097. The next prime is 122133131313103. The reversal of 122133131313100 is 1313131331221.

It is an interprime number because it is at equal distance from previous prime (122133131313097) and next prime (122133131313103).

It is a super-2 number, since 2×122133131313100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (122133131313103) 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, 347372994 + ... + 347724406.

It is an arithmetic number, because the mean of its divisors is an integer number (3686611414164).

Almost surely, 2^{122133131313100} is an apocalyptic number.

122133131313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133131313100 is an abundant number, since it is smaller than the sum of its proper divisors (143302890506708).

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

122133131313100 is a wasteful number, since it uses less digits than its factorization.

122133131313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356755 (or 356748 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 122133131313100 its reverse (1313131331221), we get a palindrome (123446262644321).

The spelling of 122133131313100 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred".