13001021001 has 12 divisors (see below), whose sum is σ = 19426813380. Its totient is φ = 8368473120.

The previous prime is 13001020973. The next prime is 13001021021. The reversal of 13001021001 is 10012010031.

It can be written as a sum of positive squares in 2 ways, for example, as 6352249401 + 6648771600 = 79701^2 + 81540^2 .

It is not a de Polignac number, because 13001021001 - 2⁵ = 13001020969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13001021021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24905910 + ... + 24906431.

It is an arithmetic number, because the mean of its divisors is an integer number (1618901115).

Almost surely, 2^13001021001 is an apocalyptic number.

It is an amenable number.

13001021001 is a deficient number, since it is larger than the sum of its proper divisors (6425792379).

13001021001 is a wasteful number, since it uses less digits than its factorization.

13001021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49812376 (or 49812373 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13001021001 its reverse (10012010031), we get a palindrome (23013031032).

The spelling of 13001021001 in words is "thirteen billion, one million, twenty-one thousand, one".