131511330412000 has 384 divisors, whose sum is σ = 404288985784320. Its totient is φ = 40844643840000.

The previous prime is 131511330411983. The next prime is 131511330412009. The reversal of 131511330412000 is 214033115131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131511330412009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85788241 + ... + 87307759.

It is an arithmetic number, because the mean of its divisors is an integer number (1052835900480).

Almost surely, 2^{131511330412000} is an apocalyptic number.

131511330412000 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 131511330412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202144492892160).

131511330412000 is an abundant number, since it is smaller than the sum of its proper divisors (272777655372320).

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

131511330412000 is a wasteful number, since it uses less digits than its factorization.

131511330412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519843 (or 1519825 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 131511330412000 its reverse (214033115131), we get a palindrome (131725363527131).

The spelling of 131511330412000 in words is "one hundred thirty-one trillion, five hundred eleven billion, three hundred thirty million, four hundred twelve thousand".