1001010291137 has 2 divisors, whose sum is σ = 1001010291138. Its totient is φ = 1001010291136.

The previous prime is 1001010291119. The next prime is 1001010291161. The reversal of 1001010291137 is 7311920101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 754111612816 + 246898678321 = 868396^2 + 496889^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010291137 - 2¹⁴ = 1001010274753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001010291167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505145568 + 500505145569.

It is an arithmetic number, because the mean of its divisors is an integer number (500505145569).

Almost surely, 2^{1001010291137} is an apocalyptic number.

It is an amenable number.

1001010291137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010291137 is an equidigital number, since it uses as much as digits as its factorization.

1001010291137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 26.

Adding to 1001010291137 its reverse (7311920101001), we get a palindrome (8312930392138).

The spelling of 1001010291137 in words is "one trillion, one billion, ten million, two hundred ninety-one thousand, one hundred thirty-seven".