1033011002013 has 16 divisors (see below), whose sum is σ = 1411018201152. Its totient is φ = 671840720000.

The previous prime is 1033011002011. The next prime is 1033011002029. The reversal of 1033011002013 is 3102001103301.

It is a cyclic number.

It is not a de Polignac number, because 1033011002013 - 2¹ = 1033011002011 is a prime.

It is a super-2 number, since 2×1033011002013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033011001983 and 1033011002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033011002011) 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, 2156458 + ... + 2591588.

It is an arithmetic number, because the mean of its divisors is an integer number (88188637572).

Almost surely, 2^{1033011002013} is an apocalyptic number.

It is an amenable number.

1033011002013 is a deficient number, since it is larger than the sum of its proper divisors (378007199139).

1033011002013 is a wasteful number, since it uses less digits than its factorization.

1033011002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454476.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1033011002013 its reverse (3102001103301), we get a palindrome (4135012105314).

The spelling of 1033011002013 in words is "one trillion, thirty-three billion, eleven million, two thousand, thirteen".