1301000233 has 32 divisors (see below), whose sum is σ = 1506385440. Its totient is φ = 1114767360.

The previous prime is 1301000231. The next prime is 1301000251. The reversal of 1301000233 is 3320001031.

It can be written as a sum of positive squares in 16 ways, for example, as 500506384 + 800493849 = 22372^2 + 28293^2 .

It is a cyclic number.

It is not a de Polignac number, because 1301000233 - 2¹ = 1301000231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301000231) 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, 1127785 + ... + 1128937.

It is an arithmetic number, because the mean of its divisors is an integer number (47074545).

Almost surely, 2^1301000233 is an apocalyptic number.

1301000233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1301000233 is a deficient number, since it is larger than the sum of its proper divisors (205385207).

1301000233 is a wasteful number, since it uses less digits than its factorization.

1301000233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1301000233 is about 36069.3808236293. The cubic root of 1301000233 is about 1091.6727208361.

Adding to 1301000233 its reverse (3320001031), we get a palindrome (4621001264).

The spelling of 1301000233 in words is "one billion, three hundred one million, two hundred thirty-three", and thus it is an aban number.