13034166143031 has 24 divisors (see below), whose sum is σ = 20742039386640. Its totient is φ = 7821281808000.

The previous prime is 13034166142981. The next prime is 13034166143059.

13034166143031 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 1 + 6 + 614 + 3 + 0 + 31 = 666.

13034166143031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13034166143031 - 2¹³ = 13034166134839 is a prime.

It is a super-2 number, since 2×13034166143031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034166243031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651763486 + ... + 651783483.

It is an arithmetic number, because the mean of its divisors is an integer number (864251641110).

Almost surely, 2^{13034166143031} is an apocalyptic number.

13034166143031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13034166143031 is a deficient number, since it is larger than the sum of its proper divisors (7707873243609).

13034166143031 is a wasteful number, since it uses less digits than its factorization.

13034166143031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303547087 (or 1303547084 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 1303416 and 6143031, that added together give a palindrome (7446447).

The spelling of 13034166143031 in words is "thirteen trillion, thirty-four billion, one hundred sixty-six million, one hundred forty-three thousand, thirty-one".