10201545144313 has 2 divisors, whose sum is σ = 10201545144314. Its totient is φ = 10201545144312.

The previous prime is 10201545144223. The next prime is 10201545144337. The reversal of 10201545144313 is 31344154510201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8919946810384 + 1281598333929 = 2986628^2 + 1132077^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201545144313 - 2¹³ = 10201545136121 is a prime.

It is a super-2 number, since 2×10201545144313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201545145313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100772572156 + 5100772572157.

It is an arithmetic number, because the mean of its divisors is an integer number (5100772572157).

Almost surely, 2^{10201545144313} is an apocalyptic number.

It is an amenable number.

10201545144313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201545144313 is an equidigital number, since it uses as much as digits as its factorization.

10201545144313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 10201545144313 its reverse (31344154510201), we get a palindrome (41545699654514).

The spelling of 10201545144313 in words is "ten trillion, two hundred one billion, five hundred forty-five million, one hundred forty-four thousand, three hundred thirteen".