102142313 has 16 divisors (see below), whose sum is σ = 128284800. Its totient is φ = 80812368.

The previous prime is 102142301. The next prime is 102142349. The reversal of 102142313 is 313241201.

It is not a de Polignac number, because 102142313 - 2²⁴ = 85365097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102142291 and 102142300.

It is not an unprimeable number, because it can be changed into a prime (102142013) 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, 6995 + ... + 15912.

It is an arithmetic number, because the mean of its divisors is an integer number (8017800).

Almost surely, 2^102142313 is an apocalyptic number.

102142313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102142313 is a deficient number, since it is larger than the sum of its proper divisors (26142487).

102142313 is an equidigital number, since it uses as much as digits as its factorization.

102142313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22941 (or 22927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102142313 is about 10106.5480259087. The cubic root of 102142313 is about 467.4500702584.

Adding to 102142313 its reverse (313241201), we get a palindrome (415383514).

It can be divided in two parts, 1021 and 42313, that added together give a palindrome (43334).

The spelling of 102142313 in words is "one hundred two million, one hundred forty-two thousand, three hundred thirteen".