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20131320020130 = 23351129719325079
BaseRepresentation
bin1001001001111001100000…
…01011011011110010100010
32122021112110022020201111000
410210330300023123302202
510114312420411121010
6110452111205532430
74145303606541264
oct444746013336242
978245408221430
1020131320020130
1164617103688a0
122311702414116
13b304b57b2b67
144d850ab79b34
1524d9dda417c0
hex124f302dbca2

20131320020130 has 256 divisors, whose sum is σ = 60667729920000. Its totient is φ = 4705465040640.

The previous prime is 20131320020111. The next prime is 20131320020143. The reversal of 20131320020130 is 3102002313102.

20131320020130 is a `hidden beast` number, since 2 + 0 + 1 + 313 + 200 + 20 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61764931 + ... + 62090009.

It is an arithmetic number, because the mean of its divisors is an integer number (236983320000).

Almost surely, 220131320020130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131320020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30333864960000).

20131320020130 is an abundant number, since it is smaller than the sum of its proper divisors (40536409899870).

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

20131320020130 is a wasteful number, since it uses less digits than its factorization.

20131320020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325854 (or 325848 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20131320020130 its reverse (3102002313102), we get a palindrome (23233322333232).

The spelling of 20131320020130 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty million, twenty thousand, one hundred thirty".