1014133401 has 24 divisors (see below), whose sum is σ = 1504175400. Its totient is φ = 658022400.

The previous prime is 1014133397. The next prime is 1014133433. The reversal of 1014133401 is 1043314101.

It can be written as a sum of positive squares in 4 ways, for example, as 2893401 + 1011240000 = 1701^2 + 31800^2 .

It is not a de Polignac number, because 1014133401 - 2² = 1014133397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1014133201) 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, 162621 + ... + 168741.

It is an arithmetic number, because the mean of its divisors is an integer number (62673975).

Almost surely, 2^1014133401 is an apocalyptic number.

It is an amenable number.

1014133401 is a deficient number, since it is larger than the sum of its proper divisors (490041999).

1014133401 is a wasteful number, since it uses less digits than its factorization.

1014133401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1014133401 is about 31845.4612307625. The cubic root of 1014133401 is about 1004.6891115320.

Adding to 1014133401 its reverse (1043314101), we get a palindrome (2057447502).

The spelling of 1014133401 in words is "one billion, fourteen million, one hundred thirty-three thousand, four hundred one".