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1137134001413 is a prime number
BaseRepresentation
bin10000100011000010011…
…101111101110100000101
311000201010211020111021102
4100203002131331310011
5122112322301021123
62230220412025445
7145104145350224
oct20430235756405
94021124214242
101137134001413
113a928a553963
12164473a62285
1383301163187
143d075190cbb
151e8a5a63028
hex108c277dd05

1137134001413 has 2 divisors, whose sum is σ = 1137134001414. Its totient is φ = 1137134001412.

The previous prime is 1137134001407. The next prime is 1137134001431. The reversal of 1137134001413 is 3141004317311.

Together with next prime (1137134001431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 656783818084 + 480350183329 = 810422^2 + 693073^2 .

It is a cyclic number.

It is not a de Polignac number, because 1137134001413 - 222 = 1137129807109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1137134001433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 568567000706 + 568567000707.

It is an arithmetic number, because the mean of its divisors is an integer number (568567000707).

Almost surely, 21137134001413 is an apocalyptic number.

It is an amenable number.

1137134001413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1137134001413 is an equidigital number, since it uses as much as digits as its factorization.

1137134001413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 1137134001413 its reverse (3141004317311), we get a palindrome (4278138318724).

The spelling of 1137134001413 in words is "one trillion, one hundred thirty-seven billion, one hundred thirty-four million, one thousand, four hundred thirteen".