10131003133000 has 128 divisors (see below), whose sum is σ = 23845736678400. Its totient is φ = 4028623776000.

The previous prime is 10131003132983. The next prime is 10131003133021. The reversal of 10131003133000 is 33130013101.

It is a super-3 number, since 3×10131003133000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644171137 + ... + 644186863.

It is an arithmetic number, because the mean of its divisors is an integer number (186294817800).

Almost surely, 2^{10131003133000} is an apocalyptic number.

10131003133000 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 10131003133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922868339200).

10131003133000 is an abundant number, since it is smaller than the sum of its proper divisors (13714733545400).

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

10131003133000 is a wasteful number, since it uses less digits than its factorization.

10131003133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19488 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10131003133000 its reverse (33130013101), we get a palindrome (10164133146101).

The spelling of 10131003133000 in words is "ten trillion, one hundred thirty-one billion, three million, one hundred thirty-three thousand".