2013102332241 has 64 divisors (see below), whose sum is σ = 3720129724416. Its totient is φ = 934184275200.

The previous prime is 2013102332191. The next prime is 2013102332347. The reversal of 2013102332241 is 1422332013102.

It is not a de Polignac number, because 2013102332241 - 2²³ = 2013093943633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013102332041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10719226 + ... + 10905411.

It is an arithmetic number, because the mean of its divisors is an integer number (58127026944).

Almost surely, 2^{2013102332241} is an apocalyptic number.

2013102332241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013102332241 is a deficient number, since it is larger than the sum of its proper divisors (1707027392175).

2013102332241 is a wasteful number, since it uses less digits than its factorization.

2013102332241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21624702.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2013102332241 its reverse (1422332013102), we get a palindrome (3435434345343).

The spelling of 2013102332241 in words is "two trillion, thirteen billion, one hundred two million, three hundred thirty-two thousand, two hundred forty-one".