2013022032231 has 16 divisors (see below), whose sum is σ = 3067491720704. Its totient is φ = 1150287213024.

The previous prime is 2013022032199. The next prime is 2013022032233. The reversal of 2013022032231 is 1322302203102.

It is a happy number.

It is not a de Polignac number, because 2013022032231 - 2⁵ = 2013022032199 is a prime.

It is a super-2 number, since 2×2013022032231² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013022032198 and 2013022032207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013022032233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2097381 + ... + 2902593.

It is an arithmetic number, because the mean of its divisors is an integer number (191718232544).

Almost surely, 2^{2013022032231} is an apocalyptic number.

2013022032231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2013022032231 is a deficient number, since it is larger than the sum of its proper divisors (1054469688473).

2013022032231 is a wasteful number, since it uses less digits than its factorization.

2013022032231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924270.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2013022032231 its reverse (1322302203102), we get a palindrome (3335324235333).

The spelling of 2013022032231 in words is "two trillion, thirteen billion, twenty-two million, thirty-two thousand, two hundred thirty-one".