31313103120 has 400 divisors, whose sum is σ = 117579266112. Its totient is φ = 7677711360.

The previous prime is 31313103077. The next prime is 31313103127. The reversal of 31313103120 is 2130131313.

It is a happy number.

31313103120 is a `hidden beast` number, since 31 + 313 + 10 + 312 + 0 = 666.

It is a super-3 number, since 3×31313103120³ (a number of 32 digits) contains 333 as substring.

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 = 31313103093 and 31313103102.

It is not an unprimeable number, because it can be changed into a prime (31313103127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27882879 + ... + 27884001.

Almost surely, 2^31313103120 is an apocalyptic number.

31313103120 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 31313103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58789633056).

31313103120 is an abundant number, since it is smaller than the sum of its proper divisors (86266162992).

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

31313103120 is a wasteful number, since it uses less digits than its factorization.

31313103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31313103120 its reverse (2130131313), we get a palindrome (33443234433).

The spelling of 31313103120 in words is "thirty-one billion, three hundred thirteen million, one hundred three thousand, one hundred twenty".