10313131310100 has 144 divisors (see below), whose sum is σ = 33159151011840. Its totient is φ = 2749808044800.

The previous prime is 10313131310089. The next prime is 10313131310101. The reversal of 10313131310100 is 101313131301.

10313131310100 is a `hidden beast` number, since 1 + 0 + 31 + 313 + 1 + 310 + 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 not an unprimeable number, because it can be changed into a prime (10313131310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20686765 + ... + 21179435.

Almost surely, 2^{10313131310100} is an apocalyptic number.

10313131310100 is a gapful number since it is divisible by the number (10) 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 10313131310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579575505920).

10313131310100 is an abundant number, since it is smaller than the sum of its proper divisors (22846019701740).

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

10313131310100 is a wasteful number, since it uses less digits than its factorization.

10313131310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500447 (or 500434 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10313131310100 its reverse (101313131301), we get a palindrome (10414444441401).

The spelling of 10313131310100 in words is "ten trillion, three hundred thirteen billion, one hundred thirty-one million, three hundred ten thousand, one hundred".