10131114301000 has 512 divisors, whose sum is σ = 31077389491200. Its totient is φ = 2998840320000.

The previous prime is 10131114300947. The next prime is 10131114301019. The reversal of 10131114301000 is 10341113101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136175812 + ... + 136250188.

It is an arithmetic number, because the mean of its divisors is an integer number (60698026350).

Almost surely, 2^{10131114301000} is an apocalyptic number.

10131114301000 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 10131114301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15538694745600).

10131114301000 is an abundant number, since it is smaller than the sum of its proper divisors (20946275190200).

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

10131114301000 is a wasteful number, since it uses less digits than its factorization.

10131114301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74506 (or 74492 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10131114301000 its reverse (10341113101), we get a palindrome (10141455414101).

The spelling of 10131114301000 in words is "ten trillion, one hundred thirty-one billion, one hundred fourteen million, three hundred one thousand".