10513528091136 has 960 divisors, whose sum is σ = 38060078284800. Its totient is φ = 2726203392000.

The previous prime is 10513528091123. The next prime is 10513528091149. The reversal of 10513528091136 is 63119082531501.

10513528091136 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 528 + 0 + 9 + 113 + 6 = 666.

10513528091136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10513528091123) and next prime (10513528091149).

It is a super-2 number, since 2×10513528091136² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10513528091091 and 10513528091100.

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, 1918874445 + ... + 1918879923.

It is an arithmetic number, because the mean of its divisors is an integer number (39645914880).

Almost surely, 2^{10513528091136} is an apocalyptic number.

10513528091136 is a gapful number since it is divisible by the number (16) 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 10513528091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030039142400).

10513528091136 is an abundant number, since it is smaller than the sum of its proper divisors (27546550193664).

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

10513528091136 is a wasteful number, since it uses less digits than its factorization.

10513528091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10513528091136 in words is "ten trillion, five hundred thirteen billion, five hundred twenty-eight million, ninety-one thousand, one hundred thirty-six".