10035540141300 has 216 divisors, whose sum is σ = 33173775180000. Its totient is φ = 2630785288320.

The previous prime is 10035540141293. The next prime is 10035540141329. The reversal of 10035540141300 is 314104553001.

It is a happy number.

10035540141300 is a `hidden beast` number, since 1 + 0 + 0 + 355 + 4 + 0 + 1 + 4 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2066175 + ... + 4933574.

It is an arithmetic number, because the mean of its divisors is an integer number (153582292500).

Almost surely, 2^{10035540141300} is an apocalyptic number.

10035540141300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10035540141300 is an abundant number, since it is smaller than the sum of its proper divisors (23138235038700).

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

10035540141300 is a wasteful number, since it uses less digits than its factorization.

10035540141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999837 (or 6999818 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10035540141300 its reverse (314104553001), we get a palindrome (10349644694301).

The spelling of 10035540141300 in words is "ten trillion, thirty-five billion, five hundred forty million, one hundred forty-one thousand, three hundred".