103011011331113 has 2 divisors, whose sum is σ = 103011011331114. Its totient is φ = 103011011331112.

The previous prime is 103011011331101. The next prime is 103011011331161. The reversal of 103011011331113 is 311133110110301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57213687544729 + 45797323786384 = 7563973^2 + 6767372^2 .

It is a cyclic number.

It is not a de Polignac number, because 103011011331113 - 2⁶ = 103011011331049 is a prime.

It is a super-2 number, since 2×103011011331113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103011011331313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51505505665556 + 51505505665557.

It is an arithmetic number, because the mean of its divisors is an integer number (51505505665557).

Almost surely, 2^{103011011331113} is an apocalyptic number.

It is an amenable number.

103011011331113 is a deficient number, since it is larger than the sum of its proper divisors (1).

103011011331113 is an equidigital number, since it uses as much as digits as its factorization.

103011011331113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 103011011331113 its reverse (311133110110301), we get a palindrome (414144121441414).

The spelling of 103011011331113 in words is "one hundred three trillion, eleven billion, eleven million, three hundred thirty-one thousand, one hundred thirteen".