31014431232100 has 144 divisors (see below), whose sum is σ = 71953563427200. Its totient is φ = 11569195008000.

The previous prime is 31014431232089. The next prime is 31014431232121. The reversal of 31014431232100 is 123213441013.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 86291566 + ... + 86650234.

It is an arithmetic number, because the mean of its divisors is an integer number (499677523800).

Almost surely, 2^{31014431232100} 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 31014431232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35976781713600).

31014431232100 is an abundant number, since it is smaller than the sum of its proper divisors (40939132195100).

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

31014431232100 is a wasteful number, since it uses less digits than its factorization.

31014431232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359414 (or 359407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 31014431232100 its reverse (123213441013), we get a palindrome (31137644673113).

The spelling of 31014431232100 in words is "thirty-one trillion, fourteen billion, four hundred thirty-one million, two hundred thirty-two thousand, one hundred".