1000414012031 has 8 divisors (see below), whose sum is σ = 1143343848480. Its totient is φ = 857487562848.

The previous prime is 1000414012021. The next prime is 1000414012049. The reversal of 1000414012031 is 1302104140001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-1000414012031 is a prime.

It is a super-2 number, since 2×1000414012031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000414012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178796 + ... + 1425761.

It is an arithmetic number, because the mean of its divisors is an integer number (142917981060).

Almost surely, 2^{1000414012031} is an apocalyptic number.

1000414012031 is a deficient number, since it is larger than the sum of its proper divisors (142929836449).

1000414012031 is an equidigital number, since it uses as much as digits as its factorization.

1000414012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693633.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1000414012031 its reverse (1302104140001), we get a palindrome (2302518152032).

The spelling of 1000414012031 in words is "one trillion, four hundred fourteen million, twelve thousand, thirty-one".