1023133013 has 16 divisors (see below), whose sum is σ = 1200815616. Its totient is φ = 853478640.

The previous prime is 1023132997. The next prime is 1023133043. The reversal of 1023133013 is 3103313201.

It is not a de Polignac number, because 1023133013 - 2⁴ = 1023132997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023132982 and 1023133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023133043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79178 + ... + 91188.

It is an arithmetic number, because the mean of its divisors is an integer number (75050976).

Almost surely, 2^1023133013 is an apocalyptic number.

It is an amenable number.

1023133013 is a deficient number, since it is larger than the sum of its proper divisors (177682603).

1023133013 is a wasteful number, since it uses less digits than its factorization.

1023133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1023133013 is about 31986.4504595305. The cubic root of 1023133013 is about 1007.6522973123.

Adding to 1023133013 its reverse (3103313201), we get a palindrome (4126446214).

The spelling of 1023133013 in words is "one billion, twenty-three million, one hundred thirty-three thousand, thirteen".