131101120031202 has 192 divisors, whose sum is σ = 298897551912960. Its totient is φ = 41475151872000.

The previous prime is 131101120031149. The next prime is 131101120031239. The reversal of 131101120031202 is 202130021101131.

131101120031202 is a `hidden beast` number, since 1 + 311 + 0 + 1 + 120 + 0 + 31 + 202 = 666.

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

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, 4673656077 + ... + 4673684127.

It is an arithmetic number, because the mean of its divisors is an integer number (1556758082880).

Almost surely, 2^{131101120031202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101120031202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149448775956480).

131101120031202 is an abundant number, since it is smaller than the sum of its proper divisors (167796431881758).

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

131101120031202 is a wasteful number, since it uses less digits than its factorization.

131101120031202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28809 (or 28806 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131101120031202 its reverse (202130021101131), we get a palindrome (333231141132333).

The spelling of 131101120031202 in words is "one hundred thirty-one trillion, one hundred one billion, one hundred twenty million, thirty-one thousand, two hundred two".