20101313132031 has 8 divisors (see below), whose sum is σ = 26801888502960. Its totient is φ = 13400806591232.

The previous prime is 20101313132011. The next prime is 20101313132053. The reversal of 20101313132031 is 13023131310102.

It is a happy number.

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 20101313132031 - 2¹¹ = 20101313129983 is a prime.

It is a super-2 number, since 2×20101313132031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101313131989 and 20101313132007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101313132011) 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, 16522200 + ... + 17697053.

It is an arithmetic number, because the mean of its divisors is an integer number (3350236062870).

Almost surely, 2^{20101313132031} is an apocalyptic number.

20101313132031 is a deficient number, since it is larger than the sum of its proper divisors (6700575370929).

20101313132031 is a wasteful number, since it uses less digits than its factorization.

20101313132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34415065.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 20101313132031 its reverse (13023131310102), we get a palindrome (33124444442133).

The spelling of 20101313132031 in words is "twenty trillion, one hundred one billion, three hundred thirteen million, one hundred thirty-two thousand, thirty-one".