31002023120 has 80 divisors (see below), whose sum is σ = 74610581760. Its totient is φ = 11965911552.

The previous prime is 31002023099. The next prime is 31002023137. The reversal of 31002023120 is 2132020013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×31002023120² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31002023095 and 31002023104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5302919 + ... + 5308761.

It is an arithmetic number, because the mean of its divisors is an integer number (932632272).

Almost surely, 2^31002023120 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 31002023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37305290880).

31002023120 is an abundant number, since it is smaller than the sum of its proper divisors (43608558640).

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

31002023120 is a wasteful number, since it uses less digits than its factorization.

31002023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31002023120 its reverse (2132020013), we get a palindrome (33134043133).

The spelling of 31002023120 in words is "thirty-one billion, two million, twenty-three thousand, one hundred twenty".