10153041121431 has 96 divisors (see below), whose sum is σ = 17100040481280. Its totient is φ = 5939697164544.

The previous prime is 10153041121417. The next prime is 10153041121463. The reversal of 10153041121431 is 13412114035101.

10153041121431 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 0 + 411 + 214 + 31 = 666.

10153041121431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10153041121431 - 2⁶ = 10153041121367 is a prime.

It is a super-2 number, since 2×10153041121431² (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 junction number, because it is equal to n+sod(n) for n = 10153041121395 and 10153041121404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153041121411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16809931 + ... + 17403443.

It is an arithmetic number, because the mean of its divisors is an integer number (178125421680).

Almost surely, 2^{10153041121431} is an apocalyptic number.

10153041121431 is a deficient number, since it is larger than the sum of its proper divisors (6946999359849).

10153041121431 is a wasteful number, since it uses less digits than its factorization.

10153041121431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593734 (or 593715 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10153041121431 its reverse (13412114035101), we get a palindrome (23565155156532).

The spelling of 10153041121431 in words is "ten trillion, one hundred fifty-three billion, forty-one million, one hundred twenty-one thousand, four hundred thirty-one".