13031001030100 has 36 divisors (see below), whose sum is σ = 28280010018204. Its totient is φ = 5211895751680.

The previous prime is 13031001030059. The next prime is 13031001030107. The reversal of 13031001030100 is 103010013031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 87210358596 + 12943790671504 = 295314^2 + 3597748^2 .

It is a super-2 number, since 2×13031001030100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031001030107) 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, 5269387 + ... + 7336786.

It is an arithmetic number, because the mean of its divisors is an integer number (785555833839).

Almost surely, 2^{13031001030100} is an apocalyptic number.

13031001030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031001030100 is an abundant number, since it is smaller than the sum of its proper divisors (15249008988104).

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

13031001030100 is a wasteful number, since it uses less digits than its factorization.

13031001030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616524 (or 12616517 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13031001030100 its reverse (103010013031), we get a palindrome (13134011043131).

The spelling of 13031001030100 in words is "thirteen trillion, thirty-one billion, one million, thirty thousand, one hundred".