1030400113 has 8 divisors (see below), whose sum is σ = 1038105000. Its totient is φ = 1022706048.

The previous prime is 1030400101. The next prime is 1030400117. The reversal of 1030400113 is 3110040301.

It can be written as a sum of positive squares in 4 ways, for example, as 492484864 + 537915249 = 22192^2 + 23193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1030400113 - 2¹⁷ = 1030269041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030400093 and 1030400102.

It is not an unprimeable number, because it can be changed into a prime (1030400117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378445 + ... + 381157.

It is an arithmetic number, because the mean of its divisors is an integer number (129763125).

Almost surely, 2^1030400113 is an apocalyptic number.

It is an amenable number.

1030400113 is a deficient number, since it is larger than the sum of its proper divisors (7704887).

1030400113 is a wasteful number, since it uses less digits than its factorization.

1030400113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1030400113 is about 32099.8459965153. The cubic root of 1030400113 is about 1010.0323856557.

Adding to 1030400113 its reverse (3110040301), we get a palindrome (4140440414).

The spelling of 1030400113 in words is "one billion, thirty million, four hundred thousand, one hundred thirteen".