1033001312213 has 32 divisors (see below), whose sum is σ = 1178245958400. Its totient is φ = 898474553856.

The previous prime is 1033001312143. The next prime is 1033001312227. The reversal of 1033001312213 is 3122131003301.

It is a cyclic number.

It is not a de Polignac number, because 1033001312213 - 2¹² = 1033001308117 is a prime.

It is a super-2 number, since 2×1033001312213² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033001317213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7086206 + ... + 7230512.

It is an arithmetic number, because the mean of its divisors is an integer number (36820186200).

Almost surely, 2^{1033001312213} is an apocalyptic number.

1033001312213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1033001312213 is a deficient number, since it is larger than the sum of its proper divisors (145244646187).

1033001312213 is a wasteful number, since it uses less digits than its factorization.

1033001312213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144701.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1033001312213 its reverse (3122131003301), we get a palindrome (4155132315514).

The spelling of 1033001312213 in words is "one trillion, thirty-three billion, one million, three hundred twelve thousand, two hundred thirteen".