10513721819628 has 144 divisors (see below), whose sum is σ = 28800438226560. Its totient is φ = 3221003423232.

The previous prime is 10513721819551. The next prime is 10513721819681. The reversal of 10513721819628 is 82691812731501.

10513721819628 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 7 + 2 + 1 + 8 + 1 + 9 + 628 = 666.

It is a super-2 number, since 2×10513721819628² (a number of 27 digits) contains 22 as substring.

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, 125932963 + ... + 126016421.

It is an arithmetic number, because the mean of its divisors is an integer number (200003043240).

Almost surely, 2^{10513721819628} is an apocalyptic number.

10513721819628 is a gapful number since it is divisible by the number (18) 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 10513721819628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400219113280).

10513721819628 is an abundant number, since it is smaller than the sum of its proper divisors (18286716406932).

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

10513721819628 is a wasteful number, since it uses less digits than its factorization.

10513721819628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88316 (or 88311 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10513721819628 in words is "ten trillion, five hundred thirteen billion, seven hundred twenty-one million, eight hundred nineteen thousand, six hundred twenty-eight".