13001031121331 has 8 divisors (see below), whose sum is σ = 14225028929904. Its totient is φ = 11784047627520.

The previous prime is 13001031121301. The next prime is 13001031121349. The reversal of 13001031121331 is 13312113010031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13001031121331 is a prime.

It is a super-2 number, since 2×13001031121331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001031121301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753574810 + ... + 1753582223.

It is an arithmetic number, because the mean of its divisors is an integer number (1778128616238).

Almost surely, 2^{13001031121331} is an apocalyptic number.

13001031121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13001031121331 is a deficient number, since it is larger than the sum of its proper divisors (1223997808573).

13001031121331 is a wasteful number, since it uses less digits than its factorization.

13001031121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507157381.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13001031121331 its reverse (13312113010031), we get a palindrome (26313144131362).

The spelling of 13001031121331 in words is "thirteen trillion, one billion, thirty-one million, one hundred twenty-one thousand, three hundred thirty-one".