113001010001 has 16 divisors (see below), whose sum is σ = 133947801600. Its totient is φ = 94182037200.

The previous prime is 113001009967. The next prime is 113001010009. The reversal of 113001010001 is 100010100311.

It is a cyclic number.

It is not a de Polignac number, because 113001010001 - 2³⁴ = 95821140817 is a prime.

It is a super-2 number, since 2×113001010001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113001010009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8714081 + ... + 8727038.

It is an arithmetic number, because the mean of its divisors is an integer number (8371737600).

Almost surely, 2^113001010001 is an apocalyptic number.

113001010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113001010001 is a deficient number, since it is larger than the sum of its proper divisors (20946791599).

113001010001 is a wasteful number, since it uses less digits than its factorization.

113001010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17441180.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 113001010001 its reverse (100010100311), we get a palindrome (213011110312).

The spelling of 113001010001 in words is "one hundred thirteen billion, one million, ten thousand, one".