31713120 has 120 divisors (see below), whose sum is σ = 111966624. Its totient is φ = 8453376.

The previous prime is 31713061. The next prime is 31713127. The reversal of 31713120 is 2131713.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31713093 and 31713102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31713127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11737 + ... + 14183.

Almost surely, 2^31713120 is an apocalyptic number.

31713120 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 31713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55983312).

31713120 is an abundant number, since it is smaller than the sum of its proper divisors (80253504).

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

31713120 is a wasteful number, since it uses less digits than its factorization.

31713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 31713120 is about 5631.4403130993. The cubic root of 31713120 is about 316.5286243512.

Adding to 31713120 its reverse (2131713), we get a palindrome (33844833).

The spelling of 31713120 in words is "thirty-one million, seven hundred thirteen thousand, one hundred twenty".