131101013310030 has 192 divisors, whose sum is σ = 343351552864320. Its totient is φ = 34705829265408.

The previous prime is 131101013309977. The next prime is 131101013310089. The reversal of 131101013310030 is 30013310101131.

131101013310030 is a `hidden beast` number, since 1 + 311 + 0 + 1 + 0 + 13 + 310 + 0 + 30 = 666.

131101013310030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131101013309985 and 131101013310012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37923346062 + ... + 37923349518.

It is an arithmetic number, because the mean of its divisors is an integer number (1788289337835).

Almost surely, 2^{131101013310030} is an apocalyptic number.

131101013310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101013310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171675776432160).

131101013310030 is an abundant number, since it is smaller than the sum of its proper divisors (212250539554290).

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

131101013310030 is a wasteful number, since it uses less digits than its factorization.

131101013310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131101013310030 its reverse (30013310101131), we get a palindrome (161114323411161).

The spelling of 131101013310030 in words is "one hundred thirty-one trillion, one hundred one billion, thirteen million, three hundred ten thousand, thirty".