13010433401031 has 32 divisors (see below), whose sum is σ = 19548079031808. Its totient is φ = 7627653095040.

The previous prime is 13010433401029. The next prime is 13010433401101.

13010433401031 is nontrivially palindromic in base 10.

13010433401031 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 13010433401031 - 2¹ = 13010433401029 is a prime.

It is a super-2 number, since 2×13010433401031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13010433400992 and 13010433401010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010433408031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30585171 + ... + 31007636.

It is an arithmetic number, because the mean of its divisors is an integer number (610877469744).

Almost surely, 2^{13010433401031} is an apocalyptic number.

13010433401031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13010433401031 is a deficient number, since it is larger than the sum of its proper divisors (6537645630777).

13010433401031 is a wasteful number, since it uses less digits than its factorization.

13010433401031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61593031.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1301043 and 3401031, that added together give a palindrome (4702074).

The spelling of 13010433401031 in words is "thirteen trillion, ten billion, four hundred thirty-three million, four hundred one thousand, thirty-one".