131101345153520 has 320 divisors, whose sum is σ = 369426422695680. Its totient is φ = 42238514036736.

The previous prime is 131101345153451. The next prime is 131101345153531. The reversal of 131101345153520 is 25351543101131.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19197733466 + ... + 19197740294.

It is an arithmetic number, because the mean of its divisors is an integer number (1154457570924).

Almost surely, 2^{131101345153520} is an apocalyptic number.

131101345153520 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 131101345153520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184713211347840).

131101345153520 is an abundant number, since it is smaller than the sum of its proper divisors (238325077542160).

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

131101345153520 is a wasteful number, since it uses less digits than its factorization.

131101345153520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9740 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

Adding to 131101345153520 its reverse (25351543101131), we get a palindrome (156452888254651).

The spelling of 131101345153520 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred forty-five million, one hundred fifty-three thousand, five hundred twenty".