2013023331031 has 8 divisors (see below), whose sum is σ = 2047724652240. Its totient is φ = 1978341419328.

The previous prime is 2013023330977. The next prime is 2013023331061. The reversal of 2013023331031 is 1301333203102.

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 2013023331031 - 2¹³ = 2013023322839 is a prime.

It is a super-3 number, since 3×2013023331031³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013023330993 and 2013023331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013023331061) 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, 4643086 + ... + 5058091.

It is an arithmetic number, because the mean of its divisors is an integer number (255965581530).

Almost surely, 2^{2013023331031} is an apocalyptic number.

2013023331031 is a deficient number, since it is larger than the sum of its proper divisors (34701321209).

2013023331031 is an equidigital number, since it uses as much as digits as its factorization.

2013023331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704753.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2013023331031 its reverse (1301333203102), we get a palindrome (3314356534133).

The spelling of 2013023331031 in words is "two trillion, thirteen billion, twenty-three million, three hundred thirty-one thousand, thirty-one".