131323121061000 has 512 divisors, whose sum is σ = 462207234078720. Its totient is φ = 30769005696000.

The previous prime is 131323121060983. The next prime is 131323121061007. The reversal of 131323121061000 is 160121323131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131323121061007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116622667 + ... + 117743333.

It is an arithmetic number, because the mean of its divisors is an integer number (902748504060).

Almost surely, 2^{131323121061000} is an apocalyptic number.

131323121061000 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 131323121061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231103617039360).

131323121061000 is an abundant number, since it is smaller than the sum of its proper divisors (330884113017720).

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

131323121061000 is a wasteful number, since it uses less digits than its factorization.

131323121061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120822 (or 1120808 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131323121061000 its reverse (160121323131), we get a palindrome (131483242384131).

The spelling of 131323121061000 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, one hundred twenty-one million, sixty-one thousand".