10130641920 has 1056 divisors, whose sum is σ = 44922643200. Its totient is φ = 2118057984.

The previous prime is 10130641903. The next prime is 10130641933. The reversal of 10130641920 is 2914603101.

10130641920 is a `hidden beast` number, since 1 + 0 + 13 + 0 + 641 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×10130641920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349332466 + ... + 349332494.

Almost surely, 2^10130641920 is an apocalyptic number.

10130641920 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 10130641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22461321600).

10130641920 is an abundant number, since it is smaller than the sum of its proper divisors (34792001280).

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

10130641920 is a wasteful number, since it uses less digits than its factorization.

10130641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10130641920 in words is "ten billion, one hundred thirty million, six hundred forty-one thousand, nine hundred twenty".