10200100313130 has 256 divisors, whose sum is σ = 31516455075840. Its totient is φ = 2053500844032.

The previous prime is 10200100313129. The next prime is 10200100313159. The reversal of 10200100313130 is 3131300100201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25482519 + ... + 25879701.

It is an arithmetic number, because the mean of its divisors is an integer number (123111152640).

Almost surely, 2^{10200100313130} is an apocalyptic number.

10200100313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200100313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758227537920).

10200100313130 is an abundant number, since it is smaller than the sum of its proper divisors (21316354762710).

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

10200100313130 is a wasteful number, since it uses less digits than its factorization.

10200100313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397645.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10200100313130 its reverse (3131300100201), we get a palindrome (13331400413331).

The spelling of 10200100313130 in words is "ten trillion, two hundred billion, one hundred million, three hundred thirteen thousand, one hundred thirty".