10135005003144 has 128 divisors (see below), whose sum is σ = 32719951872000. Its totient is φ = 2846635762752.

The previous prime is 10135005003119. The next prime is 10135005003173. The reversal of 10135005003144 is 44130050053101.

It is a happy number.

10135005003144 is a `hidden beast` number, since 1 + 0 + 13 + 5 + 0 + 0 + 500 + 3 + 144 = 666.

It is a super-2 number, since 2×10135005003144² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56716264 + ... + 56894679.

It is an arithmetic number, because the mean of its divisors is an integer number (255624624000).

Almost surely, 2^{10135005003144} is an apocalyptic number.

10135005003144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10135005003144 is an abundant number, since it is smaller than the sum of its proper divisors (22584946868856).

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

10135005003144 is a wasteful number, since it uses less digits than its factorization.

10135005003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113611024 (or 113611014 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10135005003144 its reverse (44130050053101), we get a palindrome (54265055056245).

The spelling of 10135005003144 in words is "ten trillion, one hundred thirty-five billion, five million, three thousand, one hundred forty-four".