31122112331100 has 72 divisors (see below), whose sum is σ = 102910451448448. Its totient is φ = 7113625675200.

The previous prime is 31122112331081. The next prime is 31122112331111. The reversal of 31122112331100 is 113321122113.

It is a super-3 number, since 3×31122112331100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7410024646 + ... + 7410028845.

Almost surely, 2^{31122112331100} is an apocalyptic number.

31122112331100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31122112331100 is an abundant number, since it is smaller than the sum of its proper divisors (71788339117348).

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

31122112331100 is a wasteful number, since it uses less digits than its factorization.

31122112331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820053515 (or 14820053508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 31122112331100 its reverse (113321122113), we get a palindrome (31235433453213).

The spelling of 31122112331100 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred twelve million, three hundred thirty-one thousand, one hundred".