1005214041310 has 32 divisors (see below), whose sum is σ = 1859710881600. Its totient is φ = 391050274560.

The previous prime is 1005214041269. The next prime is 1005214041311. The reversal of 1005214041310 is 131404125001.

1005214041310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005214041310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005214041311) 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, 9203530 + ... + 9312109.

It is an arithmetic number, because the mean of its divisors is an integer number (58115965050).

Almost surely, 2^{1005214041310} is an apocalyptic number.

1005214041310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005214041310 is a deficient number, since it is larger than the sum of its proper divisors (854496840290).

1005214041310 is a wasteful number, since it uses less digits than its factorization.

1005214041310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18515796.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1005214041310 its reverse (131404125001), we get a palindrome (1136618166311).

The spelling of 1005214041310 in words is "one trillion, five billion, two hundred fourteen million, forty-one thousand, three hundred ten".