13031211400000 has 84 divisors (see below), whose sum is σ = 32321444443596. Its totient is φ = 5212484480000.

The previous prime is 13031211399977. The next prime is 13031211400007. The reversal of 13031211400000 is 411213031.

13031211400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12871332976896 + 159878423104 = 3587664^2 + 399848^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031211400007) 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, 32378029 + ... + 32778028.

It is an arithmetic number, because the mean of its divisors is an integer number (384779100519).

Almost surely, 2^{13031211400000} is an apocalyptic number.

13031211400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031211400000 is an abundant number, since it is smaller than the sum of its proper divisors (19290233043596).

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

13031211400000 is an frugal number, since it uses more digits than its factorization.

13031211400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65156094 (or 65156064 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13031211400000 its reverse (411213031), we get a palindrome (13031622613031).

The spelling of 13031211400000 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, four hundred thousand".