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131513430000 = 2435413613221
BaseRepresentation
bin111101001111011001…
…1111010111111110000
3110120110101201110021210
41322132303322333300
54123314414230000
6140225541120120
712334011465501
oct1723663727760
9416411643253
10131513430000
11508579a2527
12215a36b9040
13c52b5b9944
1465184a6ba8
15364ab62350
hex1e9ecfaff0

131513430000 has 200 divisors, whose sum is σ = 424986723216. Its totient is φ = 35033600000.

The previous prime is 131513429981. The next prime is 131513430007. The reversal of 131513430000 is 34315131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131513430007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40828390 + ... + 40831610.

Almost surely, 2131513430000 is an apocalyptic number.

131513430000 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 131513430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212493361608).

131513430000 is an abundant number, since it is smaller than the sum of its proper divisors (293473293216).

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

131513430000 is a wasteful number, since it uses less digits than its factorization.

131513430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 131513430000 its reverse (34315131), we get a palindrome (131547745131).

The spelling of 131513430000 in words is "one hundred thirty-one billion, five hundred thirteen million, four hundred thirty thousand".