31121100192 has 192 divisors, whose sum is σ = 103263600384. Its totient is φ = 7985848320.

The previous prime is 31121100181. The next prime is 31121100203. The reversal of 31121100192 is 29100112113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31121100181) and next prime (31121100203).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275092 + ... + 371372.

It is an arithmetic number, because the mean of its divisors is an integer number (537831252).

Almost surely, 2^31121100192 is an apocalyptic number.

31121100192 is a gapful number since it is divisible by the number (32) 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 31121100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51631800192).

31121100192 is an abundant number, since it is smaller than the sum of its proper divisors (72142500192).

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

31121100192 is a wasteful number, since it uses less digits than its factorization.

31121100192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96351 (or 96343 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 31121100192 in words is "thirty-one billion, one hundred twenty-one million, one hundred thousand, one hundred ninety-two".