10132671337 has 2 divisors, whose sum is σ = 10132671338. Its totient is φ = 10132671336.

The previous prime is 10132671319. The next prime is 10132671349. The reversal of 10132671337 is 73317623101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8575500816 + 1557170521 = 92604^2 + 39461^2 .

It is an emirp because it is prime and its reverse (73317623101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10132671337 - 2³¹ = 7985187689 is a prime.

It is a super-2 number, since 2×10132671337² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10132671397) 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, 5066335668 + 5066335669.

It is an arithmetic number, because the mean of its divisors is an integer number (5066335669).

Almost surely, 2^10132671337 is an apocalyptic number.

It is an amenable number.

10132671337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132671337 is an equidigital number, since it uses as much as digits as its factorization.

10132671337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 34.

The spelling of 10132671337 in words is "ten billion, one hundred thirty-two million, six hundred seventy-one thousand, three hundred thirty-seven".