1010414120311 has 16 divisors (see below), whose sum is σ = 1046649397248. Its totient is φ = 974408169600.

The previous prime is 1010414120263. The next prime is 1010414120321. The reversal of 1010414120311 is 1130214140101.

It is not a de Polignac number, because 1010414120311 - 2¹⁷ = 1010413989239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010414120321) 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, 41183730 + ... + 41208256.

It is an arithmetic number, because the mean of its divisors is an integer number (65415587328).

Almost surely, 2^{1010414120311} is an apocalyptic number.

1010414120311 is a deficient number, since it is larger than the sum of its proper divisors (36235276937).

1010414120311 is a wasteful number, since it uses less digits than its factorization.

1010414120311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29142.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1010414120311 its reverse (1130214140101), we get a palindrome (2140628260412).

The spelling of 1010414120311 in words is "one trillion, ten billion, four hundred fourteen million, one hundred twenty thousand, three hundred eleven".