101023132013 has 4 divisors (see below), whose sum is σ = 101264237760. Its totient is φ = 100782026268.

The previous prime is 101023131997. The next prime is 101023132039. The reversal of 101023132013 is 310231320101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101023132013 - 2⁴ = 101023131997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101023131982 and 101023132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023132073) 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, 120552245 + ... + 120553082.

It is an arithmetic number, because the mean of its divisors is an integer number (25316059440).

Almost surely, 2^101023132013 is an apocalyptic number.

It is an amenable number.

101023132013 is a deficient number, since it is larger than the sum of its proper divisors (241105747).

101023132013 is an equidigital number, since it uses as much as digits as its factorization.

101023132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241105746.

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

Adding to 101023132013 its reverse (310231320101), we get a palindrome (411254452114).

The spelling of 101023132013 in words is "one hundred one billion, twenty-three million, one hundred thirty-two thousand, thirteen".