131101022310000 has 800 divisors, whose sum is σ = 436537522477056. Its totient is φ = 33872256000000.

The previous prime is 131101022309969. The next prime is 131101022310043. The reversal of 131101022310000 is 13220101131.

It is a happy number.

It is a super-2 number, since 2×131101022310000² (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 159 ways as a sum of consecutive naturals, for example, 180331529637 + ... + 180331530363.

Almost surely, 2^{131101022310000} is an apocalyptic number.

131101022310000 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 131101022310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218268761238528).

131101022310000 is an abundant number, since it is smaller than the sum of its proper divisors (305436500167056).

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

131101022310000 is a wasteful number, since it uses less digits than its factorization.

131101022310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131101022310000 its reverse (13220101131), we get a palindrome (131114242411131).

The spelling of 131101022310000 in words is "one hundred thirty-one trillion, one hundred one billion, twenty-two million, three hundred ten thousand".