1310400105 has 32 divisors (see below), whose sum is σ = 2397523968. Its totient is φ = 598699200.

The previous prime is 1310400083. The next prime is 1310400107. The reversal of 1310400105 is 5010040131.

It is not a de Polignac number, because 1310400105 - 2¹¹ = 1310398057 is a prime.

It is a super-2 number, since 2×1310400105² = 3434296870368022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1310400107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333100 + ... + 337010.

It is an arithmetic number, because the mean of its divisors is an integer number (74922624).

Almost surely, 2^1310400105 is an apocalyptic number.

1310400105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310400105 is a deficient number, since it is larger than the sum of its proper divisors (1087123863).

1310400105 is a wasteful number, since it uses less digits than its factorization.

1310400105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1310400105 is about 36199.4489598944. The cubic root of 1310400105 is about 1094.2955666050.

Adding to 1310400105 its reverse (5010040131), we get a palindrome (6320440236).

The spelling of 1310400105 in words is "one billion, three hundred ten million, four hundred thousand, one hundred five".