5131351313000 has 384 divisors, whose sum is σ = 13835910291840. Its totient is φ = 1766223360000.

The previous prime is 5131351312987. The next prime is 5131351313107. The reversal of 5131351313000 is 3131531315.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564438455 + ... + 564447545.

It is an arithmetic number, because the mean of its divisors is an integer number (36031016385).

Almost surely, 2^{5131351313000} is an apocalyptic number.

5131351313000 is a gapful number since it is divisible by the number (50) 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 5131351313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917955145920).

5131351313000 is an abundant number, since it is smaller than the sum of its proper divisors (8704558978840).

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

5131351313000 is a wasteful number, since it uses less digits than its factorization.

5131351313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 26.

Adding to 5131351313000 its reverse (3131531315), we get a palindrome (5134482844315).

The spelling of 5131351313000 in words is "five trillion, one hundred thirty-one billion, three hundred fifty-one million, three hundred thirteen thousand".