10513024320240 has 320 divisors, whose sum is σ = 39903942650880. Its totient is φ = 2527639188480.

The previous prime is 10513024320233. The next prime is 10513024320257. The reversal of 10513024320240 is 4202342031501.

10513024320240 is a `hidden beast` number, since 1 + 0 + 51 + 30 + 24 + 320 + 240 = 666.

It is a super-2 number, since 2×10513024320240² (a number of 27 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 63 ways as a sum of consecutive naturals, for example, 3145996 + ... + 5560875.

It is an arithmetic number, because the mean of its divisors is an integer number (124699820784).

Almost surely, 2^{10513024320240} is an apocalyptic number.

10513024320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513024320240 is an abundant number, since it is smaller than the sum of its proper divisors (29390918330640).

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

10513024320240 is a wasteful number, since it uses less digits than its factorization.

10513024320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706949 (or 8706937 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10513024320240 its reverse (4202342031501), we get a palindrome (14715366351741).

The spelling of 10513024320240 in words is "ten trillion, five hundred thirteen billion, twenty-four million, three hundred twenty thousand, two hundred forty".