31120023110100 has 144 divisors (see below), whose sum is σ = 90980738110080. Its totient is φ = 8212141094400.

The previous prime is 31120023110083. The next prime is 31120023110107. The reversal of 31120023110100 is 101132002113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31120023110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120023110107) 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, 42308266 + ... + 43037534.

It is an arithmetic number, because the mean of its divisors is an integer number (631810681320).

Almost surely, 2^{31120023110100} is an apocalyptic number.

31120023110100 is a gapful number since it is divisible by the number (30) 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 31120023110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45490369055040).

31120023110100 is an abundant number, since it is smaller than the sum of its proper divisors (59860714999980).

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

31120023110100 is a wasteful number, since it uses less digits than its factorization.

31120023110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730770 (or 730763 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31120023110100 its reverse (101132002113), we get a palindrome (31221155112213).

The spelling of 31120023110100 in words is "thirty-one trillion, one hundred twenty billion, twenty-three million, one hundred ten thousand, one hundred".