31013124123102 has 128 divisors (see below), whose sum is σ = 72970282598400. Its totient is φ = 8681974156800.

The previous prime is 31013124123101. The next prime is 31013124123103. The reversal of 31013124123102 is 20132142131013.

It is an interprime number because it is at equal distance from previous prime (31013124123101) and next prime (31013124123103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013124123101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43269027 + ... + 43979937.

It is an arithmetic number, because the mean of its divisors is an integer number (570080332800).

Almost surely, 2^{31013124123102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013124123102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36485141299200).

31013124123102 is an abundant number, since it is smaller than the sum of its proper divisors (41957158475298).

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

31013124123102 is a wasteful number, since it uses less digits than its factorization.

31013124123102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711662.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31013124123102 its reverse (20132142131013), we get a palindrome (51145266254115).

The spelling of 31013124123102 in words is "thirty-one trillion, thirteen billion, one hundred twenty-four million, one hundred twenty-three thousand, one hundred two".