10032013101 has 64 divisors (see below), whose sum is σ = 15087617280. Its totient is φ = 5878333440.

The previous prime is 10032013099. The next prime is 10032013141. The reversal of 10032013101 is 10131023001.

It is not a de Polignac number, because 10032013101 - 2¹ = 10032013099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032013141) 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, 37293595 + ... + 37293863.

It is an arithmetic number, because the mean of its divisors is an integer number (235744020).

Almost surely, 2^10032013101 is an apocalyptic number.

10032013101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032013101 is a deficient number, since it is larger than the sum of its proper divisors (5055604179).

10032013101 is a wasteful number, since it uses less digits than its factorization.

10032013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10032013101 its reverse (10131023001), we get a palindrome (20163036102).

The spelling of 10032013101 in words is "ten billion, thirty-two million, thirteen thousand, one hundred one".