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131413233130379 is a prime number
BaseRepresentation
bin11101111000010100000111…
…000101000101101110001011
3122020021222112011110202110122
4131320110013011011232023
5114211033300140133004
61143254223400333455
736452202265130534
oct3570240705055613
9566258464422418
10131413233130379
1138966048191202
12128a4921a7428b
1358432a3947b05
14246461209b68b
15102d55e35acbe
hex778507145b8b

131413233130379 has 2 divisors, whose sum is σ = 131413233130380. Its totient is φ = 131413233130378.

The previous prime is 131413233130331. The next prime is 131413233130409. The reversal of 131413233130379 is 973031332314131.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131413233130379 is a prime.

It is a super-2 number, since 2×1314132331303792 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131413233130079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706616565189 + 65706616565190.

It is an arithmetic number, because the mean of its divisors is an integer number (65706616565190).

Almost surely, 2131413233130379 is an apocalyptic number.

131413233130379 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413233130379 is an equidigital number, since it uses as much as digits as its factorization.

131413233130379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 44.

The spelling of 131413233130379 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred thirty-three million, one hundred thirty thousand, three hundred seventy-nine".