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131041320010000 = 2454193211439733
BaseRepresentation
bin11101110010111001101111…
…010101001000000100010000
3122011222102112220022201001121
4131302321233111020010100
5114133440110410310000
61142411315031412024
736413265032562121
oct3562715725100420
9564872486281047
10131041320010000
11388323479a6214
1212844828b24014
1358171b322608a
142450610222048
151023a4363ab1a
hex772e6f548110

131041320010000 has 400 divisors, whose sum is σ = 321587422583680. Its totient is φ = 51708948480000.

The previous prime is 131041320009893. The next prime is 131041320010019. The reversal of 131041320010000 is 10023140131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178773969634 + ... + 178773970366.

Almost surely, 2131041320010000 is an apocalyptic number.

131041320010000 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 131041320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160793711291840).

131041320010000 is an abundant number, since it is smaller than the sum of its proper divisors (190546102573680).

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

131041320010000 is a wasteful number, since it uses less digits than its factorization.

131041320010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131041320010000 its reverse (10023140131), we get a palindrome (131051343150131).

The spelling of 131041320010000 in words is "one hundred thirty-one trillion, forty-one billion, three hundred twenty million, ten thousand".