31144013241003 has 16 divisors (see below), whose sum is σ = 49688454174240. Its totient is φ = 19165546609632.

The previous prime is 31144013240987. The next prime is 31144013241017. The reversal of 31144013241003 is 30014231044113.

31144013241003 is a `hidden beast` number, since 3 + 1 + 14 + 401 + 3 + 241 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 31144013241003 - 2⁴ = 31144013240987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31144013241053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44364690876 + ... + 44364691577.

It is an arithmetic number, because the mean of its divisors is an integer number (3105528385890).

Almost surely, 2^{31144013241003} is an apocalyptic number.

31144013241003 is a deficient number, since it is larger than the sum of its proper divisors (18544440933237).

31144013241003 is a wasteful number, since it uses less digits than its factorization.

31144013241003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88729382475 (or 88729382469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31144013241003 its reverse (30014231044113), we get a palindrome (61158244285116).

The spelling of 31144013241003 in words is "thirty-one trillion, one hundred forty-four billion, thirteen million, two hundred forty-one thousand, three".