31120214113100 has 144 divisors (see below), whose sum is σ = 77580469407168. Its totient is φ = 10614249000960.

The previous prime is 31120214113081. The next prime is 31120214113133. The reversal of 31120214113100 is 131141202113.

It is a super-2 number, since 2×31120214113100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178833734 + ... + 179007666.

It is an arithmetic number, because the mean of its divisors is an integer number (538753259772).

Almost surely, 2^{31120214113100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31120214113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38790234703584).

31120214113100 is an abundant number, since it is smaller than the sum of its proper divisors (46460255294068).

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

31120214113100 is a wasteful number, since it uses less digits than its factorization.

31120214113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175284 (or 175277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 31120214113100 its reverse (131141202113), we get a palindrome (31251355315213).

The spelling of 31120214113100 in words is "thirty-one trillion, one hundred twenty billion, two hundred fourteen million, one hundred thirteen thousand, one hundred".