233013131403001 has 2 divisors, whose sum is σ = 233013131403002. Its totient is φ = 233013131403000.

The previous prime is 233013131402957. The next prime is 233013131403011. The reversal of 233013131403001 is 100304131310332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232770678566976 + 242452836025 = 15256824^2 + 492395^2 .

It is a cyclic number.

It is not a de Polignac number, because 233013131403001 - 2²⁹ = 233012594532089 is a prime.

It is a super-3 number, since 3×233013131403001³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (233013131403011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116506565701500 + 116506565701501.

It is an arithmetic number, because the mean of its divisors is an integer number (116506565701501).

Almost surely, 2^{233013131403001} is an apocalyptic number.

It is an amenable number.

233013131403001 is a deficient number, since it is larger than the sum of its proper divisors (1).

233013131403001 is an equidigital number, since it uses as much as digits as its factorization.

233013131403001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 233013131403001 its reverse (100304131310332), we get a palindrome (333317262713333).

The spelling of 233013131403001 in words is "two hundred thirty-three trillion, thirteen billion, one hundred thirty-one million, four hundred three thousand, one".