130010131000 has 128 divisors (see below), whose sum is σ = 311113820160. Its totient is φ = 50829264000.

The previous prime is 130010130989. The next prime is 130010131057. The reversal of 130010131000 is 131010031.

It is a super-2 number, since 2×130010131000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48455659 + ... + 48458341.

It is an arithmetic number, because the mean of its divisors is an integer number (2430576720).

Almost surely, 2^130010131000 is an apocalyptic number.

130010131000 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 130010131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155556910080).

130010131000 is an abundant number, since it is smaller than the sum of its proper divisors (181103689160).

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

130010131000 is a wasteful number, since it uses less digits than its factorization.

130010131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 130010131000 its reverse (131010031), we get a palindrome (130141141031).

The spelling of 130010131000 in words is "one hundred thirty billion, ten million, one hundred thirty-one thousand".