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13131405253 is a prime number
BaseRepresentation
bin11000011101011000…
…10101011111000101
31020220011001111120201
430032230111133011
5203343114432003
610011003330501
7643260050221
oct141654253705
936804044521
1013131405253
11562937713a
122665820a31
13131368cca5
148c7db3781
1551cc5bb1d
hex30eb157c5

13131405253 has 2 divisors, whose sum is σ = 13131405254. Its totient is φ = 13131405252.

The previous prime is 13131405211. The next prime is 13131405263. The reversal of 13131405253 is 35250413131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9900847009 + 3230558244 = 99503^2 + 56838^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13131405253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131405263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565702626 + 6565702627.

It is an arithmetic number, because the mean of its divisors is an integer number (6565702627).

Almost surely, 213131405253 is an apocalyptic number.

It is an amenable number.

13131405253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131405253 is an equidigital number, since it uses as much as digits as its factorization.

13131405253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 13131405253 its reverse (35250413131), we get a palindrome (48381818384).

The spelling of 13131405253 in words is "thirteen billion, one hundred thirty-one million, four hundred five thousand, two hundred fifty-three".