1303105401 has 80 divisors (see below), whose sum is σ = 2191358400. Its totient is φ = 766184832.

The previous prime is 1303105381. The next prime is 1303105423. The reversal of 1303105401 is 1045013031.

It is not a de Polignac number, because 1303105401 - 2¹⁴ = 1303089017 is a prime.

It is a super-2 number, since 2×1303105401² = 3396167372230741602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1303105451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4244490 + ... + 4244796.

It is an arithmetic number, because the mean of its divisors is an integer number (27391980).

Almost surely, 2^1303105401 is an apocalyptic number.

It is an amenable number.

1303105401 is a deficient number, since it is larger than the sum of its proper divisors (888252999).

1303105401 is a wasteful number, since it uses less digits than its factorization.

1303105401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1303105401 is about 36098.5512313167. The cubic root of 1303105401 is about 1092.2612208670.

Adding to 1303105401 its reverse (1045013031), we get a palindrome (2348118432).

The spelling of 1303105401 in words is "one billion, three hundred three million, one hundred five thousand, four hundred one".