10510405401300 has 144 divisors (see below), whose sum is σ = 35019708928512. Its totient is φ = 2384039548800.

The previous prime is 10510405401289. The next prime is 10510405401347. The reversal of 10510405401300 is 310450401501.

It is a happy number.

It is a super-2 number, since 2×10510405401300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18827782 + ... + 19377981.

Almost surely, 2^{10510405401300} is an apocalyptic number.

10510405401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510405401300 is an abundant number, since it is smaller than the sum of its proper divisors (24509303527212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10510405401300 is a wasteful number, since it uses less digits than its factorization.

10510405401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38205918 (or 38205911 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10510405401300 its reverse (310450401501), we get a palindrome (10820855802801).

The spelling of 10510405401300 in words is "ten trillion, five hundred ten billion, four hundred five million, four hundred one thousand, three hundred".