13001220133031 has 8 divisors (see below), whose sum is σ = 14001671414640. Its totient is φ = 12000819912192.

The previous prime is 13001220132997. The next prime is 13001220133037. The reversal of 13001220133031 is 13033102210031.

13001220133031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 13001220133031 - 2²² = 13001215938727 is a prime.

It is a super-2 number, since 2×13001220133031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13001220132994 and 13001220133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001220133037) 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, 12235541 + ... + 13255598.

It is an arithmetic number, because the mean of its divisors is an integer number (1750208926830).

Almost surely, 2^{13001220133031} is an apocalyptic number.

13001220133031 is a deficient number, since it is larger than the sum of its proper divisors (1000451281609).

13001220133031 is a wasteful number, since it uses less digits than its factorization.

13001220133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25530385.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13001220133031 its reverse (13033102210031), we get a palindrome (26034322343062).

The spelling of 13001220133031 in words is "thirteen trillion, one billion, two hundred twenty million, one hundred thirty-three thousand, thirty-one".