13123131000000 has 588 divisors, whose sum is σ = 50487985464264. Its totient is φ = 2999539200000.

The previous prime is 13123130999987. The next prime is 13123131000037. The reversal of 13123131000000 is 13132131.

It is a tau number, because it is divible by the number of its divisors (588).

It is a super-2 number, since 2×13123131000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 146955364 + ... + 147044636.

Almost surely, 2^{13123131000000} is an apocalyptic number.

13123131000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243992732132).

13123131000000 is an abundant number, since it is smaller than the sum of its proper divisors (37364854464264).

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

13123131000000 is an frugal number, since it uses more digits than its factorization.

13123131000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89332 (or 89290 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13123131000000 its reverse (13132131), we get a palindrome (13123144132131).

The spelling of 13123131000000 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirty-one million", and thus it is an aban number.