1003141212311 has 24 divisors (see below), whose sum is σ = 1198447494480. Its totient is φ = 836892672000.

The previous prime is 1003141212287. The next prime is 1003141212343. The reversal of 1003141212311 is 1132121413001.

1003141212311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003141212311 - 2²² = 1003137018007 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 (1003141212211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425770 + ... + 2009751.

It is an arithmetic number, because the mean of its divisors is an integer number (49935312270).

Almost surely, 2^{1003141212311} is an apocalyptic number.

1003141212311 is a deficient number, since it is larger than the sum of its proper divisors (195306282169).

1003141212311 is a wasteful number, since it uses less digits than its factorization.

1003141212311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435695 (or 3435688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1003141212311 its reverse (1132121413001), we get a palindrome (2135262625312).

The spelling of 1003141212311 in words is "one trillion, three billion, one hundred forty-one million, two hundred twelve thousand, three hundred eleven".