101032023313 has 8 divisors (see below), whose sum is σ = 109062164456. Its totient is φ = 93038803200.

The previous prime is 101032023307. The next prime is 101032023329. The reversal of 101032023313 is 313320230101.

It can be written as a sum of positive squares in 4 ways, for example, as 1035037584 + 99996985729 = 32172^2 + 316223^2 .

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 101032023313 - 2²⁵ = 100998468881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101032023013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9224568 + ... + 9235513.

It is an arithmetic number, because the mean of its divisors is an integer number (13632770557).

Almost surely, 2^101032023313 is an apocalyptic number.

101032023313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101032023313 is a deficient number, since it is larger than the sum of its proper divisors (8030141143).

101032023313 is a wasteful number, since it uses less digits than its factorization.

101032023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18460515.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 101032023313 its reverse (313320230101), we get a palindrome (414352253414).

The spelling of 101032023313 in words is "one hundred one billion, thirty-two million, twenty-three thousand, three hundred thirteen".