10000001331 has 24 divisors (see below), whose sum is σ = 14592791616. Its totient is φ = 6598368000.

The previous prime is 10000001251. The next prime is 10000001371. The reversal of 10000001331 is 13310000001.

It is not a de Polignac number, because 10000001331 - 2²¹ = 9997904179 is a prime.

It is a super-2 number, since 2×10000001331² (a number of 21 digits) contains 22 as substring.

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 (10000001371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757221 + ... + 770313.

It is an arithmetic number, because the mean of its divisors is an integer number (608032984).

Almost surely, 2^10000001331 is an apocalyptic number.

10000001331 is a deficient number, since it is larger than the sum of its proper divisors (4592790285).

10000001331 is a wasteful number, since it uses less digits than its factorization.

10000001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13960 counting only the distinct ones).

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

Adding to 10000001331 its reverse (13310000001), we get a palindrome (23310001332).

It can be divided in two parts, 1000000 and 1331, that multiplied together give a cube (1331000000 = 1100³).

The spelling of 10000001331 in words is "ten billion, one thousand, three hundred thirty-one".