130311103011000 has 256 divisors, whose sum is σ = 419291733294720. Its totient is φ = 33670149120000.

The previous prime is 130311103010899. The next prime is 130311103011079. The reversal of 130311103011000 is 110301113031.

It is a super-2 number, since 2×130311103011000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24315370 + ... + 29186630.

Almost surely, 2^{130311103011000} is an apocalyptic number.

130311103011000 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 130311103011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209645866647360).

130311103011000 is an abundant number, since it is smaller than the sum of its proper divisors (288980630283720).

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

130311103011000 is a wasteful number, since it uses less digits than its factorization.

130311103011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871563 (or 4871549 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 130311103011000 its reverse (110301113031), we get a palindrome (130421404124031).

The spelling of 130311103011000 in words is "one hundred thirty trillion, three hundred eleven billion, one hundred three million, eleven thousand".