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131252413 is a prime number
BaseRepresentation
bin1111101001011…
…00000010111101
3100010222022110111
413310230002331
5232100034123
621005110021
73152425045
oct764540275
9303868414
10131252413
11680a7976
1237b58311
1321266866
1413608725
15b7c990d
hex7d2c0bd

131252413 has 2 divisors, whose sum is σ = 131252414. Its totient is φ = 131252412.

The previous prime is 131252411. The next prime is 131252441. The reversal of 131252413 is 314252131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115713049 + 15539364 = 10757^2 + 3942^2 .

It is an emirp because it is prime and its reverse (314252131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131252413 - 21 = 131252411 is a prime.

It is a super-3 number, since 3×1312524133 (a number of 25 digits) contains 333 as substring.

Together with 131252411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131252411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65626206 + 65626207.

It is an arithmetic number, because the mean of its divisors is an integer number (65626207).

Almost surely, 2131252413 is an apocalyptic number.

It is an amenable number.

131252413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131252413 is an equidigital number, since it uses as much as digits as its factorization.

131252413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 131252413 is about 11456.5445488594. The cubic root of 131252413 is about 508.2012927558.

The spelling of 131252413 in words is "one hundred thirty-one million, two hundred fifty-two thousand, four hundred thirteen".