10302131100 has 144 divisors (see below), whose sum is σ = 30922708320. Its totient is φ = 2644992000.

The previous prime is 10302131057. The next prime is 10302131123. The reversal of 10302131100 is 113120301.

It is a super-2 number, since 2×10302131100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3487224 + ... + 3490176.

It is an arithmetic number, because the mean of its divisors is an integer number (214741030).

Almost surely, 2^10302131100 is an apocalyptic number.

10302131100 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 10302131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461354160).

10302131100 is an abundant number, since it is smaller than the sum of its proper divisors (20620577220).

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

10302131100 is a wasteful number, since it uses less digits than its factorization.

10302131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10302131100 its reverse (113120301), we get a palindrome (10415251401).

The spelling of 10302131100 in words is "ten billion, three hundred two million, one hundred thirty-one thousand, one hundred".