20031001132013 has 8 divisors (see below), whose sum is σ = 20305677943608. Its totient is φ = 19756331875584.

The previous prime is 20031001131971. The next prime is 20031001132027. The reversal of 20031001132013 is 31023110013002.

It can be written as a sum of positive squares in 4 ways, for example, as 2293401302404 + 17737599829609 = 1514398^2 + 4211603^2 .

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 20031001132013 - 2³⁰ = 20029927390189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20031001131982 and 20031001132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20031001132073) 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, 3557081 + ... + 7260497.

It is an arithmetic number, because the mean of its divisors is an integer number (2538209742951).

Almost surely, 2^{20031001132013} is an apocalyptic number.

It is an amenable number.

20031001132013 is a deficient number, since it is larger than the sum of its proper divisors (274676811595).

20031001132013 is an equidigital number, since it uses as much as digits as its factorization.

20031001132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777583.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20031001132013 its reverse (31023110013002), we get a palindrome (51054111145015).

The spelling of 20031001132013 in words is "twenty trillion, thirty-one billion, one million, one hundred thirty-two thousand, thirteen".