101021232013 has 4 divisors (see below), whose sum is σ = 108792096028. Its totient is φ = 93250368000.

The previous prime is 101021232001. The next prime is 101021232041. The reversal of 101021232013 is 310232120101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 64311438409 + 36709793604 = 253597^2 + 191598^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021232013 - 2¹⁷ = 101021100941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021232043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3885431988 + ... + 3885432013.

It is an arithmetic number, because the mean of its divisors is an integer number (27198024007).

Almost surely, 2^101021232013 is an apocalyptic number.

101021232013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101021232013 is a deficient number, since it is larger than the sum of its proper divisors (7770864015).

101021232013 is an equidigital number, since it uses as much as digits as its factorization.

101021232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770864014.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101021232013 its reverse (310232120101), we get a palindrome (411253352114).

The spelling of 101021232013 in words is "one hundred one billion, twenty-one million, two hundred thirty-two thousand, thirteen".