102132310313011 has 16 divisors (see below), whose sum is σ = 113990309075808. Its totient is φ = 90717723532800.

The previous prime is 102132310313003. The next prime is 102132310313017. The reversal of 102132310313011 is 110313013231201.

It is a cyclic number.

It is not a de Polignac number, because 102132310313011 - 2³ = 102132310313003 is a prime.

It is a super-2 number, since 2×102132310313011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102132310313017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363311916 + ... + 363592921.

It is an arithmetic number, because the mean of its divisors is an integer number (7124394317238).

Almost surely, 2^{102132310313011} is an apocalyptic number.

102132310313011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102132310313011 is a deficient number, since it is larger than the sum of its proper divisors (11857998762797).

102132310313011 is a wasteful number, since it uses less digits than its factorization.

102132310313011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726905142.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 102132310313011 its reverse (110313013231201), we get a palindrome (212445323544212).

The spelling of 102132310313011 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred ten million, three hundred thirteen thousand, eleven".