313131230100 has 216 divisors, whose sum is σ = 1057731467520. Its totient is φ = 77024528640.

The previous prime is 313131230039. The next prime is 313131230119. The reversal of 313131230100 is 1032131313.

It is a happy number.

313131230100 is a `hidden beast` number, since 313 + 1 + 312 + 30 + 10 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18231717 + ... + 18248883.

Almost surely, 2^313131230100 is an apocalyptic number.

313131230100 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 313131230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528865733760).

313131230100 is an abundant number, since it is smaller than the sum of its proper divisors (744600237420).

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

313131230100 is a wasteful number, since it uses less digits than its factorization.

313131230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18759 (or 18749 counting only the distinct ones).

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

Adding to 313131230100 its reverse (1032131313), we get a palindrome (314163361413).

The spelling of 313131230100 in words is "three hundred thirteen billion, one hundred thirty-one million, two hundred thirty thousand, one hundred".