10513144032 has 48 divisors (see below), whose sum is σ = 28548631440. Its totient is φ = 3383539712.

The previous prime is 10513144013. The next prime is 10513144043. The reversal of 10513144032 is 23044131501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10513144032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10513143993 and 10513144011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1885353 + ... + 1890920.

It is an arithmetic number, because the mean of its divisors is an integer number (594763155).

Almost surely, 2^10513144032 is an apocalyptic number.

10513144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10513144032 is an abundant number, since it is smaller than the sum of its proper divisors (18035487408).

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

10513144032 is a wasteful number, since it uses less digits than its factorization.

10513144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776315 (or 3776307 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10513144032 its reverse (23044131501), we get a palindrome (33557275533).

The spelling of 10513144032 in words is "ten billion, five hundred thirteen million, one hundred forty-four thousand, thirty-two".