131011113310000 has 600 divisors, whose sum is σ = 403578010497024. Its totient is φ = 40727373120000.

The previous prime is 131011113309991. The next prime is 131011113310081. The reversal of 131011113310000 is 13311110131.

It is a super-2 number, since 2×131011113310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2064338269 + ... + 2064401731.

Almost surely, 2^{131011113310000} is an apocalyptic number.

131011113310000 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 131011113310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201789005248512).

131011113310000 is an abundant number, since it is smaller than the sum of its proper divisors (272566897187024).

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

131011113310000 is a wasteful number, since it uses less digits than its factorization.

131011113310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63899 (or 63871 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 131011113310000 its reverse (13311110131), we get a palindrome (131024424420131).

The spelling of 131011113310000 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirteen million, three hundred ten thousand".