102413311 has 48 divisors (see below), whose sum is σ = 141571584. Its totient is φ = 72072000.

The previous prime is 102413257. The next prime is 102413317. The reversal of 102413311 is 113314201.

It is not a de Polignac number, because 102413311 - 2¹⁵ = 102380543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102413317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781716 + ... + 781846.

It is an arithmetic number, because the mean of its divisors is an integer number (2949408).

Almost surely, 2^102413311 is an apocalyptic number.

102413311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102413311 is a deficient number, since it is larger than the sum of its proper divisors (39158273).

102413311 is a wasteful number, since it uses less digits than its factorization.

102413311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 102413311 is about 10119.9461955091. The cubic root of 102413311 is about 467.8631089025.

Adding to 102413311 its reverse (113314201), we get a palindrome (215727512).

It can be divided in two parts, 1024133 and 11, that added together give a square (1024144 = 1012²).

The spelling of 102413311 in words is "one hundred two million, four hundred thirteen thousand, three hundred eleven".