31001003400 has 48 divisors (see below), whose sum is σ = 96103112400. Its totient is φ = 8266934080.

The previous prime is 31001003389. The next prime is 31001003401. The reversal of 31001003400 is 430010013.

It is a super-2 number, since 2×31001003400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31001003401) 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 11 ways as a sum of consecutive naturals, for example, 25833570 + ... + 25834769.

It is an arithmetic number, because the mean of its divisors is an integer number (2002148175).

Almost surely, 2^31001003400 is an apocalyptic number.

31001003400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31001003400 is an abundant number, since it is smaller than the sum of its proper divisors (65102109000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31001003400 is a wasteful number, since it uses less digits than its factorization.

31001003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51668358 (or 51668349 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31001003400 its reverse (430010013), we get a palindrome (31431013413).

The spelling of 31001003400 in words is "thirty-one billion, one million, three thousand, four hundred".