131102102120000 has 1120 divisors, whose sum is σ = 383068128960000. Its totient is φ = 43974328320000.

The previous prime is 131102102119957. The next prime is 131102102120009. The reversal of 131102102120000 is 21201201131.

It is a super-2 number, since 2×131102102120000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131102102120009) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88047079256 + ... + 88047080744.

Almost surely, 2^{131102102120000} is an apocalyptic number.

131102102120000 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 131102102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191534064480000).

131102102120000 is an abundant number, since it is smaller than the sum of its proper divisors (251966026840000).

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

131102102120000 is a wasteful number, since it uses less digits than its factorization.

131102102120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 131102102120000 its reverse (21201201131), we get a palindrome (131123303321131).

The spelling of 131102102120000 in words is "one hundred thirty-one trillion, one hundred two billion, one hundred two million, one hundred twenty thousand".